Geometry of the Weil-Petersson completion of Teichmüller space

Details Geometry of the Weil-Petersson completion of Teichmüller space Geometry of the Weil-Petersson completion of Teichmüller space

2005-02-24

arxiv.org/abs/math/0502528v1

Surveys in Differential Geometry, Vol. VIII (Boston, MA, 2002), pgs.357--393, Int. Press, Somerville, MA (2003)

Mathematics

Differential Geometry

50 pages

Scientific paper

We present a view of the current understanding of the geometry of
Weil-Petersson (WP) geodesics on the completion of the Teichm\"uller space. We
sketch a collection of results by other authors and then proceed to develop the
properties of the WP CAT(0) geometry. Our approach includes a simplified proof
of the Masur-Wolf theorem, a classification of flats and of geodesic limits.

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